Constructing tree amplitudes of scalar EFT from double soft theorem

Fuente: arXiv
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Main Author: Zhou, Kang
Format: Preprint
Published: 2024
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author Zhou, Kang
author_facet Zhou, Kang
contents The well known Adler zero can fully determine tree amplitudes of non-linear sigma model (NLSM), but fails to fix tree pion amplitudes with higher-derivative interactions. To fill this gap, in this paper we propose a new method based on exploiting the double soft theorem for scalars, which can be applied to a wider range. A remarkable feature of this method is, we only assume the universality of soft behavior at the beginning, and determine the explicit form of double soft factor in the process of constructing amplitudes. To test the applicability, we use this method to construct tree NLSM amplitudes and tree amplitudes those pions in NLSM couple to bi-adjoint scalars. We also construct the simplest pion amplitudes which receive leading higher-derivative correction, with arbitrary number of external legs. All resulted amplitudes are formulated as universal expansions to appropriate basis.
format Preprint
id arxiv_https___arxiv_org_abs_2406_03784
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Constructing tree amplitudes of scalar EFT from double soft theorem
Zhou, Kang
High Energy Physics - Theory
The well known Adler zero can fully determine tree amplitudes of non-linear sigma model (NLSM), but fails to fix tree pion amplitudes with higher-derivative interactions. To fill this gap, in this paper we propose a new method based on exploiting the double soft theorem for scalars, which can be applied to a wider range. A remarkable feature of this method is, we only assume the universality of soft behavior at the beginning, and determine the explicit form of double soft factor in the process of constructing amplitudes. To test the applicability, we use this method to construct tree NLSM amplitudes and tree amplitudes those pions in NLSM couple to bi-adjoint scalars. We also construct the simplest pion amplitudes which receive leading higher-derivative correction, with arbitrary number of external legs. All resulted amplitudes are formulated as universal expansions to appropriate basis.
title Constructing tree amplitudes of scalar EFT from double soft theorem
topic High Energy Physics - Theory
url https://arxiv.org/abs/2406.03784